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Authors
Advisor(s)
Abstract(s)
The main purpose of this talk is to present the dynamical study and the bifurcation structures of the γ-Ricker population model.
Resorting to the Lambert W function, the analytical solutions of the positive fixed point equation for the γ-Ricker population model are explicitly presented
and conditions for the existence and stability of these fixed points are established.
Another main focus of this work is the definition and characterization of the Allee effect bifurcation for the γ-Ricker population model, which is not a pitchfork bifurcation.
Consequently, we prove that the phenomenon of Allee effect for the γ-Ricker population model is associated to the asymptotic behavior of the Lambert W function in a neighborhood of zero.
Numerical studies are included.
Description
Keywords
Ricker population model Lambert W function Allee effect bifurcation
Citation
ROCHA, J. Leonel; TAHA, Abdel-Kaddous – Allee effect bifurcation in the γ-Ricker population model using the Lambert W function. In 11th Conference on Dynamical Systems Applied to Biology and Natural Sciences - DSABNS 2020. Trento, Itália. 2020. Pp. 1-23